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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If there is one-one correspondence between A and B, then we write.
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A = B
A⊆ B
A⊇ B
A ∼ B
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Question # 2
cos h
2
x + sin h
2
x
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 3
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π / 3
π / 4
π / 2
π
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Question # 4
There are ______ types of rational fraction
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Three
Four
Five
Two
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Question # 5
The axis of the parabola y
2
= 4ax is
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X = 0
Y = 0
X = y
X = -y
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Question # 6
The set of the first elements of the orders pairs forming a relation is called its
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Relation in B
Range
Domain
Relation In A
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Question # 7
0 is a symbol of
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singleton set
Empty set
Equivalent set
Infinite set
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Question # 8
A polynomial P(x)has a factor (x-a)if P(a) =
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a
x
1
0
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Question # 9
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Question # 10
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
Choose an answer
H.P.
A.P.
G.P.
None of these
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Question # 11
sin(π/2+θ) = _______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 12
Find the geometric mean between 4 and 16
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Question # 13
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100x
99
100x
101
-99x
99
-100x
101
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Question # 14
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0
1
-1
None of these
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Question # 15
60° = ______
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Question # 16
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 17
If -1 < x < 0, which of the following statements must be true?
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x < x
2
< x
3
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 18
Name the property used in 4 + 9 = 9 + 4
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 19
The sum of the squares of three distinct real numbers, which are in G.P., is S
2
. if their sum is
α
S then
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Question # 20
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 21
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sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 22
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Question # 23
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 24
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Addition
Multiplication
Division
Both addition and multiplication
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Question # 25
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Question # 26
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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Question # 27
A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is
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1 / 500
1 / 504
1 / 252
1 / 250
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Question # 28
Tan 3x tan 2x-tan x is equal to
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Tan x tan 2x tan 3x
-tan x tan 2x tan 3x
Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x
None of these
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Question # 29
The domain of the principal tan function is
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Question # 30
A function from X to X is denoted as
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f : X to Y
f : Y to Y
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Question # 31
If n is any positive integer then n! > n
2
for
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